UNIVERSITY OF BUCHAREST
FACULTY OF PHYSICS

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2024-11-22 2:15
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Conference: Bucharest University Faculty of Physics 2007 Meeting


Section: Nuclear and Elementary Particles Physics


Title:
Study on Quark Many-Body Systems at Relativistic Energies


Authors:
I. V. Grossu (1), C. Besliu (1), Al. Jipa (1), D. Felea (2), C. C. Bordeianu (1)


Affiliation:
(1) University of Bucharest, Faculty of Physics, Bucharest-Magurele, Romania

(2) Institute of Space Sciences, Bucharest-Magurele, Romania


E-mail
iv_grossu@yahoo.com


Keywords:
quark many-body numerical simulation QGP


Abstract:
In this work, we present some results obtained from a numerical simulation, implemented for the study of relativistic many-body systems. We used a bi-quark potential defined in two regions. For short distances, in agreement with the asymptotic freedom property, a harmonic potential (Isgur-Karl model) was chosen, whereas for distances around the confinement radius, we considered the string potential, with a term corresponding to the Coulombian interaction. The initial density (over ten times the normal nuclear matter density) and temperature (150-200MeV) are related to the predicted necessary conditions for the formation of the Quark Gluon Plasma. A quantum input comes from using the Fermi-Dirac distribution for quarks instead of the Maxwell-Boltzmann distribution. For the bi-particle harmonic potential and relativistic initial velocities, we empirically observed that the evolution of a three-body system could be considered as an approximation of the classical case, if the constant interaction is small enough. Thus, the masses corresponding to the up and down quarks are chosen in agreement with the classical closing trajectory condition (Lissajous) for the up, up, down (proton) quark system. After a critical temperature, one can observe a raise in the evolution of the Lyapunov Exponent (geometrically corrected). We tried to relate the time interval, corresponding to this event, with the QGP lifetime. The influence of impurities on the critical temperature is also analyzed.